Two numbers are in the ratio of 5 : 6. If 8 is subtracted from each of the numb, they become in the ratio of 4 : 5. Find the numbers.

Let the two numbers be .

According to the question,

…(i)

Also,

⇒ 5(x – 8) = 4(y – 8)

⇒ 5x – 40 = 4y – 32

⇒ 5x – 4y = 8 …(ii)

On putting the value of in Eq. (ii), we get

⇒ x = 40

On putting the value of x = 40 in Eq. (i), we get

Hence, the two numbers are 40 and 48.